1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

10 is divided into two parts such that the sum of double of the first and square of the other is minimum, then the numbers are respectively

A
9, 1
B
8, 2
C
6, 4
D
7, 3
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $$f(x)=\frac{\lambda \sin x+6 \cos x}{2 \sin x+3 \cos x}$$ is increasing, if

A
$$\lambda>2$$
B
$$\lambda<4$$
C
$$\lambda \geq 4$$
D
$$\lambda>1$$
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=x^2+a x+b$$ has minima at $$x=3$$ whose value is 5 , then the values of $$a$$ and $$b$$ are respectively.

A
$$-6,-14$$
B
$$-6,14$$
C
$$14,-6$$
D
$$6,14$$
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The slant height of a right circular cone is $$3 \mathrm{~cm}$$. The height of the cone for maximum volume is

A
$$5 \mathrm{~cm}$$
B
$$\sqrt{5} \mathrm{~cm}$$
C
$$3 \mathrm{~cm}$$
D
$$\sqrt{3} \mathrm{~cm}$$
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